1. Tardigrade
  2. Question
  3. Mathematics
  4. An even periodic function f: R arrow R with period 4 is such that <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/mathematics/79a6abf62b3ee931e91d92a04a2a27b7-.png /> The value of f ( x ) at x =5.12 (where represents fractional part), is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. An even periodic function $f: R \rightarrow R$ with period 4 is such that
image
The value of $\{ f ( x )\}$ at $x =5.12$ (where \{\} represents fractional part), is

Relations and Functions - Part 2

Solution:

image
$\text { At } x =5.12 \Rightarrow f ( x )= x -4 $
$\text { Now } f (5.12)=5.12-4=1.12$
$\therefore \{ f (5.12)\}=0.12=\{ f (7.88)\}$